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This chapter intends to be a survey on Exterior Algebra. This algebra is
attributed to Hermann Grassmann [Die lineare Ausdehnungslehre, ein neuer Zweig
der Mathematik, 1842], and it is formed by two operators: the exterior product and
inner product. William K. Clifford unified both products under the geometric
product operator and David Hestenes improved the geometric and computer aspects
of Geometric algebra. Here, we review the main operators and their properties, as well
as their application in the representation of lines and planes.
Bivector, Differential forms, Differentiation, Dot product, Dual space,
Exterior product, Geometric algebra, Geometric product, Grassmann algebra, Inner
product, Norm, Oriented plane, Orthogonal basis, Reflections, Rigid body motions,
Department of Mathematics Faculty of Sciences Universidad Nacional Autónoma de México México City México.